Recurrences for certain sequences of binomial sums in terms of (generalized) Fibonacci and Lucas polynomials

2022/12/05 by Cigler, Johann
#0502 #05A10 #05E05 #11B37 #11B39 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2212.02118

Abstract

We give a simplified presentation of some results about recurrences of certain sequences of binomial sums in terms of (generalized) Fibonacci and Lucas polynomials.

Related

• Some results and conjectures about recurrence relations for certain sequences of binomial sums
• Binomial sum relations involving Fibonacci and Lucas numbers
• Recurrences for some sequences of binomial sums II: A simpler approach
• A note on some binomial sums
• Binomial Fibonacci Power Sums